24. Identify which matrix you would multiply both sides by to solve the system of equations. = [1,2] [6 3] X 3] о O O 4 -8 [3³ Y -37 -6 8 8 3 6 -4 O not possible
24. Identify which matrix you would multiply both sides by to solve the system of equations. = [1,2] [6 3] X 3] о O O 4 -8 [3³ Y -37 -6 8 8 3 6 -4 O not possible
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Certainly! Here’s the transcribed content for educational purposes:
---
**24. Identify which matrix you would multiply both sides by to solve the system of equations.**
\[
\begin{bmatrix}
6 & 3 \\
8 & 4
\end{bmatrix}
\cdot
\begin{bmatrix}
x \\
y
\end{bmatrix}
=
\begin{bmatrix}
9 \\
12
\end{bmatrix}
\]
Options:
- ⃝
\[
\begin{bmatrix}
4 & -3 \\
-8 & 6
\end{bmatrix}
\]
- ⃝
\[
\begin{bmatrix}
-6 & 8 \\
3 & -4
\end{bmatrix}
\]
- ⃝
\[
\begin{bmatrix}
4 & 8 \\
3 & 6
\end{bmatrix}
\]
- ⃝ not possible
---
To solve this system of equations, you need to identify the inverse of the given 2x2 matrix and multiply both sides of the equation by this inverse.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0fe4764-4b5b-449c-be80-d627d74391d7%2F1e1d07cb-6f32-4aef-be74-739c54f3d436%2F4dud3of_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here’s the transcribed content for educational purposes:
---
**24. Identify which matrix you would multiply both sides by to solve the system of equations.**
\[
\begin{bmatrix}
6 & 3 \\
8 & 4
\end{bmatrix}
\cdot
\begin{bmatrix}
x \\
y
\end{bmatrix}
=
\begin{bmatrix}
9 \\
12
\end{bmatrix}
\]
Options:
- ⃝
\[
\begin{bmatrix}
4 & -3 \\
-8 & 6
\end{bmatrix}
\]
- ⃝
\[
\begin{bmatrix}
-6 & 8 \\
3 & -4
\end{bmatrix}
\]
- ⃝
\[
\begin{bmatrix}
4 & 8 \\
3 & 6
\end{bmatrix}
\]
- ⃝ not possible
---
To solve this system of equations, you need to identify the inverse of the given 2x2 matrix and multiply both sides of the equation by this inverse.
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